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Finding the Fourth Proportional to 24,854.09, 37,280.21 and 10,814.11

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Solution

The fourth proportional to 24,854.09, 37,280.21 and 10,814.11 is: 16,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.09 : 37,280.21 = 10,814.11 : x
  2. Step 2: Convert to fraction form
    24,854.09/37,280.21 = 10,814.11/x
  3. Step 3: Cross multiply
    24,854.09x = 37,280.21 × 10,814.11
  4. Step 4: Simplify right side
    24,854.09x = 403,152,354.19
  5. Step 5: Solve for x
    x = 403,152,354.19/24,854.09
  6. Step 6: Final answer
    x = 16,220.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.